Multiple Choice Questions on A 640 metre long train travelling at 80 km h overtook a 540 metre long train travelling at 72 km h i........... for SSC CHSL Preparation

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Quantitative Aptitude (CHSL)

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    A 640 metre long train travelling at 80 km/h overtook a 540 metre long train travelling at 72 km/h in the same direction. How

    long did it take the faster train to cross the other train completely?

    This questions was previously asked in
    SSC CHSL 6th June 2022 Shift-3

    8 minutes 41 seconds

    Incorrect Answer

    9 minutes 09 seconds

    Incorrect Answer

    9 minutes 01 second

    Incorrect Answer

    8 minutes 51 seconds

    Correct Answer
    Explanation:

    - To calculate the time for the faster train to overtake the slower one, first find the relative speed.

    - The faster train is moving at 80 km/h and the slower train at 72 km/h.

    - Relative speed = 80 km/h - 72 km/h = 8 km/h.

    - Convert this relative speed into meters per second: 8 km/h = (8 * 1000) / 3600 = 20/9 m/s.

    - The total distance to be covered is the sum of both train lengths: 640 m + 540 m = 1180 m.

    - Time taken = Total distance / Relative speed = 1180 m / (20/9 m/s) = 531 seconds.

    - Convert 531 seconds to minutes: 531 seconds = 8 minutes and 51 seconds.

    - Option 4: 8 minutes 51 seconds is the correct answer.

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